본문 바로가기
KERD
논문KCI 등재

MINIMUM PENDANT DOMINATING ESTRADA INDEX OF A GRAPH

0

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

The main purpose of this paper is to introduce the con- cept of minimum pendant dominating Estrada index of a graph. First, we compute minimum pendant dominating Estrada index for complete graph, star graph, complete bipartite graph and cocktail party graph which are amongst the most widely-used graph classes. Also, upper and lower bounds for this new index are established. Finally, the rela- tions between the new Estrada index and the new type of energy are investigated.

Abstract

The main purpose of this paper is to introduce the con- cept of minimum pendant dominating Estrada index of a graph. First, we compute minimum pendant dominating Estrada index for complete graph, star graph, complete bipartite graph and cocktail party graph which are amongst the most widely-used graph classes. Also, upper and lower bounds for this new index are established. Finally, the rela- tions between the new Estrada index and the new type of energy are investigated.

참고문헌 (32)

  1. C. Adiga, "The Minimum covering energy of a graph", Kragujevac J. Sci, 34, pp.39~56 (2012)
  2. C. Adiga, "Bounds on the largest minimum degree eigenvalues of graphs", Int.Math.Forum, 5(37), pp.1823~1831 (2010)
  3. C. Adiga, "On maximum degree energy of a graph", Int. J. Contemp. Math. Sciences, 4(8), pp.385~396 (2009)
  4. N. Alawiah, "New Upper Bounds on the Energy of a Graph", MATCH Commun. Math. Comput. Chem, 79, pp.287~301 (2018)
  5. J. Askari, "Seidel-Estrada index", Journal of Inequalities and Applications, pp.120~ (2016)
  6. S. B. Bozkurt, "On the distance Estrada index of graphs", Hacettepe Journal of Mathematics and Statistics, 38, pp.277~283 (2009)
  7. K. C. Das, "Bounds for the energy of graphs", Hacettepe J. Math. Stat
  8. J. A. de la Pena, "Estimating the Estrada Index", Lin. Algebra Appl, 427, pp.70~76 (2007)
  9. A. D. Gungor, "On the Harary Energy and Harary Estrada Index of a Graph", MATCH Commun Math. Comput. Chem, 64(1), pp.281~296 (2010)
  10. A. D. Gungor, "Generalization for Estrada Index", AIP Conference Proceedings, 1281, pp.1106~ (2010)
  11. S. S. Dragomir, "A survey on Cauchy-Bunyakovsky-Schwarz type discrete inequalities", J. Inequal. Pure Appl. Math, 4, pp.1~142 (2003)
  12. E. Estrada, "Characterization of 3D molecular structure", Chem. Phys. Lett, 319, pp.713~718 (2000)
  13. E. Estrada, "Characterization of the folding degree of proteins", Bioinformatics, 18, pp.697~704 (2002)
  14. E. Estrada, "Characterization of the amino acid contribution to the folding degree of proteins", Proteins, 54, pp.727~737 (2004)
  15. E. Estrada, "Topological structural classes of complex networks", Phys. Rev. E, 75, pp.016103~ (2007)
  16. E. Estrada, "Atom-bond connectivity and the energetic of branched alkanes", Chem. Phys. Lett, 463, pp.422~425 (2008)
  17. E. Estrada, "Statistical{mechanical approach to subgraph centrality in com-plex networks", Chem. Phys. Lett, 439, pp.247~251 (2007)
  18. E. Estrada, "Subgraph centrality in complex networks", Phys. Rev. E, 71, pp.056103~ (2005)
  19. E. Estrada, "Spectral measures of bipartivity in complex networks", Phys. Rev. E, 72, pp.046105~ (2005)
  20. E. Estrada, "Atomic branching in molecules", Int. J. Quantum Chem, 106, pp.823~832 (2006)
  21. I. Gutman, "Bounds for total electron energy", Chem. Phys. Lett, 24, pp.283~285 (1974)
  22. I. Gutman, "McClelland-type lower bound for total electron energy", J. Chem. Soc. Faraday Trans, 86, pp.3373~3375 (1990)
  23. N. Jafari, "Tetracyclic Graphs with Maxi-mal Estrada Index, Discrete Mathematics", Algorithms and Applications, 09, pp.1750041~ (2017)
  24. N. Jafari, "Pentacyclic Graphs with Maximal Estrada Index", Ars Combin, 133, pp.133~145 (2017)
  25. N. Jafari, "Zagreb Energy and Zagreb Estrada Index of Graphs", MATCH Commun. Math. Comput. Chem, 79, pp.371~386 (2018)
  26. A. Jahanbani, "Upper bounds for the energy of graphs", MATCH Commun. Math. Com-put. Chem, 79, pp.275~286 (2018)
  27. A. Jahanbani, "Some new lower bounds for energy of graphs", Applied Mathematics and Computation, 296, pp.233~238 (2017)
  28. A. Jahanbani, "Lower Bounds for the Energy of Graphs", AKCE International Journal of Graphs and Combinatorics, 15, pp.88~96 (2018)
  29. A. Jahanbani, "New Bounds for the Harary Energy and Harary Estrada index of graphs", MATI, 1, pp.40~51 (2019)
  30. W. Lin, "Ordering trees by their largest eigenvalues", Linear Algebra Appl, 418, pp.450~456 (2006)
  31. S. Purushothama, "Minimum pendant dominating energy of a graph", American International Journal of Research in Science, Technology, Engineering and Mathematics, pp.101~109 (2019)
  32. E. Sampathkumar, "Graphs and Matrices, Proceedings of the workshop on Graph theory applied to chemistry", CMS Pala, 39, pp.23~26 (2010)

관련 논문AI추천

이 간행물의 다른 논문 (14건)